Optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and nonlinearity

Weizhu Bao, Ying Ma, Chushan Wang

We establish optimal error bounds on time-splitting methods for the nonlinear Schrödinger equation with low regularity potential and typical power-type nonlinearity $f(\rho )={\rho }^{\sigma }$,…